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Finding the Fourth Proportional to 742.20, 1,028.56 and 731.76

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Solution

The fourth proportional to 742.20, 1,028.56 and 731.76 is: 1,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,028.56 = 731.76 : x
  2. Step 2: Convert to fraction form
    742.20/1,028.56 = 731.76/x
  3. Step 3: Cross multiply
    742.20x = 1,028.56 × 731.76
  4. Step 4: Simplify right side
    742.20x = 752,659.07
  5. Step 5: Solve for x
    x = 752,659.07/742.20
  6. Step 6: Final answer
    x = 1,014.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.